Use our free GCF of Fractions Calculator tool to compute the GCF of 439/813, 709/940 i.e 1/764220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 439/813, 709/940.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 439/813,709/940
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 439/813,709/940, numerators are 439,709
Denominators are 813,940
The GCF of 439,709 is 1 .
LCM of 813,940 is 764220.
The greatest common factor of 439/813,709/940 = [GCF of 439,709]/[LCM of 813,940]= 1/764220
Therefore, the GCF of 439/813,709/940 is 1/764220.
To find the highest common factor of 439,709, we have to find the factors of both numbers and list the highest common factor.
The factors of 439 are 1, 439
The factors of 709 are 1, 709
The HCF of 439,709 is 1.
Lets's calculate GCF of 439,709
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 439
:1,439
Now, list down the factors of 709
:1,709
Greatest Common Factor
We found the factors 439,709 . The biggest common factor number is the GCF number.
So the greatest common factor 439,709 is 1.
Lets's calculate LCM of 813,940
Given numbers has no common factors except 1. So, there LCM is their product i.e 764220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/764220
Therefore, the GCF of Fractions 439/813,709/940 is 1/764220
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 813,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,940) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(813,940) x common factors =1 x 1 = 1
LCM(813,940) = ( 813 × 940 ) / 1
LCM(813,940) = 764220 / 1
LCM(813,940) = 764220
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 439,709?
The HCF of 439,709 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 439/813, 709/940?
Answer: GCF of Numerators as per given numbers 439/813, 709/940 is
GCF of Numerators i.e. for 439,709 is 1
LCM of denominators i.e. for 813,940 is 764220.
Thus, GCF of Fractions is 1/764220.Finally, GCF of Fractions for 439/813, 709/940 is 1/764220.